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Finding the Third Proportional to 6,462.56 and 9,317.81

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Solution

The third proportional to 6,462.56 and 9,317.81 is: 13,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.56 : 9,317.81 = 9,317.81 : x
  2. Step 2: Convert to fraction form
    6,462.56/9,317.81 = 9,317.81/x
  3. Step 3: Cross multiply
    6,462.56x = 9,317.81 × 9,317.81
  4. Step 4: Simplify right side
    6,462.56x = 86,821,629.79
  5. Step 5: Solve for x
    x = 86,821,629.79/6,462.56
  6. Step 6: Final answer
    x = 13,434.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.